Find The Largest Interval On Whichf(x)=(x2+1)e-x...

TheGreatMan

From: US
Posts: 31
Votes: 124
Find the largest interval on whichf(x)=(x2+1)e-x is concave down.

 

Answer No.1

BabyBrainy77

From: US
Posts: 25
Votes: 100
F ' = 2xe-x-e-x(x2+1) = -e-x(x2-2x+1) = -e-x(x-1)2 f " =e-x(x-1)2-2e-x(x-1) = e-x(x-1)(x-1-2) = e-x(x-1)(x-3) f" = 0 when x = 1 and 3 f " < 0 when 1<x<3 so, the interval of downward concavity is (1, 3)

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